Given a triangle ABC with sides 3,4 and 6. Find the perimeter of a similar triangle A1 B1 C1 if the similarity coefficient

| September 5, 2021 | education

Given a triangle ABC with sides 3,4 and 6. Find the perimeter of a similar triangle A1 B1 C1 if the similarity coefficient is 2 and the perimeter of triangle A1 B1 C1 is greater than the perimeter of triangle ABC.

Similar triangles are triangles in which the angles are respectively equal, and the sides of one are respectively proportional to the sides of the other triangle.

The similarity coefficient is the number k equal to the ratio of the similar sides of similar triangles.

The ratio of the perimeters of similar triangles is equal to the coefficient of similarity.

PA1B1C1: PABS = k. (Since, it is known that the perimeter of A1B1C1 is greater than the perimeter of ABC).

1. Find the ABC perimeter:

P = AB + BC + AC = 3 + 4 + 6 = 13 cm.

PA1B1C1: PABS = k.

x: 13 cm = 2.

x = 13 * 2.

x = 26 cm.

Answer: PA1B1C1 is 26 cm.



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